A Statistical Description of Pairwise Interaction between Nerve Fibres

Abstract

In this paper, the interaction between axons in nerve trunks has been characterized in the statistical sense while the mechanism model is investigated based on two different observation scales. In order to describe the interaction phenomena, a symmetric coupling factor matrix has been presented which is considered as a transverse mode combining the standard cable equation. It has been shown that the presented model is an extension of the existing individual membrane potential models. The simulation results indicate that the responses of the nerve fibres are sensitive to the couplings and the action potential could be generated by other coupled axons even if there is no external artificial stimulation.